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Question

A piggy bank contains a hundred 50p coins, fifty Rs1coins, twenty Rs2 coins, and ten Rs5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a Rs5coin?


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Solution

Given ,

Number of 50pcoins =100

Number of Rs1coins =50

Number of Rs2coins =20

Number of Rs5 coins =10

Total number of coins =100+50+20+10

=180

We know that,

bold space bold italic P bold left parenthesis bold italic E bold right parenthesis bold space bold equals bold space begin bold style stretchy left parenthesis fraction numerator N u m b e r space o f space f a v o u r a b l e space o u t c o m e s over denominator T o t a l space n u m b e r space o f space o u t c o m e s end fraction stretchy right parenthesis end style

the probability that the coin will be a Rs5 =10180

=118=0.055

Now,

the probability that the coin will not Rs5=1-the probability that will be a Rs5

=1-0.055=0.945

Hence, the required solution is 0.945 .


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